Solve yx=x+x*0.7+yx*0.15

$$y x = x + x \cdot 0.7 + y x \cdot 0.15$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine x and x\times 0.7 to get 1.7x.

$$yx=1.7x+yx\times 0.15$$

Subtract 1.7x from both sides.

$$yx-1.7x=yx\times 0.15$$

Subtract yx\times 0.15 from both sides.

$$yx-1.7x-yx\times 0.15=0$$

Combine yx and -yx\times 0.15 to get 0.85yx.

$$0.85yx-1.7x=0$$

Combine all terms containing x.

$$\left(0.85y-1.7\right)x=0$$

The equation is in standard form.

$$\left(\frac{17y}{20}-1.7\right)x=0$$

Divide 0 by -1.7+0.85y.

$$x=0$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=2\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine x and x\times 0.7 to get 1.7x.

$$yx=1.7x+yx\times 0.15$$

Subtract yx\times 0.15 from both sides.

$$yx-yx\times 0.15=1.7x$$

Combine yx and -yx\times 0.15 to get 0.85yx.

$$0.85yx=1.7x$$

The equation is in standard form.

$$\frac{17x}{20}y=\frac{17x}{10}$$

Divide both sides by 0.85x.

$$\frac{20\times \frac{17x}{20}y}{17x}=\frac{17x}{10\times \frac{17x}{20}}$$

Dividing by 0.85x undoes the multiplication by 0.85x.

$$y=\frac{17x}{10\times \frac{17x}{20}}$$

Divide \frac{17x}{10} by 0.85x.

$$y=2$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine x and x\times 0.7 to get 1.7x.

$$yx=1.7x+yx\times 0.15$$

Subtract 1.7x from both sides.

$$yx-1.7x=yx\times 0.15$$

Subtract yx\times 0.15 from both sides.

$$yx-1.7x-yx\times 0.15=0$$

Combine yx and -yx\times 0.15 to get 0.85yx.

$$0.85yx-1.7x=0$$

Combine all terms containing x.

$$\left(0.85y-1.7\right)x=0$$

The equation is in standard form.

$$\left(\frac{17y}{20}-1.7\right)x=0$$

Divide 0 by -1.7+0.85y.

$$x=0$$

Solve for y

$$\left\{\begin{matrix}\\y=2\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine x and x\times 0.7 to get 1.7x.

$$yx=1.7x+yx\times 0.15$$

Subtract yx\times 0.15 from both sides.

$$yx-yx\times 0.15=1.7x$$

Combine yx and -yx\times 0.15 to get 0.85yx.

$$0.85yx=1.7x$$

The equation is in standard form.

$$\frac{17x}{20}y=\frac{17x}{10}$$

Divide both sides by 0.85x.

$$\frac{20\times \frac{17x}{20}y}{17x}=\frac{17x}{10\times \frac{17x}{20}}$$

Dividing by 0.85x undoes the multiplication by 0.85x.

$$y=\frac{17x}{10\times \frac{17x}{20}}$$

Divide \frac{17x}{10} by 0.85x.

$$y=2$$